Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss? (the answer is not a scientific truth, only made up numbers!)

Two equations

let c the calories in carrot

let h the calories in hershey's kisses

4c + 8h = 230 eq 1

10 c + 7 h = 263 eq 2

to solve the solution we multiply eq 1 by 10

we multiply eq 2 by 4

40 c + 80 h = 2300

40c + 28 h = 1052

we subtract the two equations we get

52 h = 1248

h = 24

and so in replacing h = 24 in the equation we get c = 9.5